US8724690B1 - Multipath delay calculator for a decision feedback equalizer - Google Patents
Multipath delay calculator for a decision feedback equalizer Download PDFInfo
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- US8724690B1 US8724690B1 US13/658,721 US201213658721A US8724690B1 US 8724690 B1 US8724690 B1 US 8724690B1 US 201213658721 A US201213658721 A US 201213658721A US 8724690 B1 US8724690 B1 US 8724690B1
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
- H04L25/03012—Arrangements for removing intersymbol interference operating in the time domain
- H04L25/03019—Arrangements for removing intersymbol interference operating in the time domain adaptive, i.e. capable of adjustment during data reception
- H04L25/03057—Arrangements for removing intersymbol interference operating in the time domain adaptive, i.e. capable of adjustment during data reception with a recursive structure
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/0202—Channel estimation
- H04L25/0212—Channel estimation of impulse response
- H04L25/0216—Channel estimation of impulse response with estimation of channel length
Definitions
- An equalizer is a device used in digital communications to minimize the effect of intersymbol interference. This signal interference is often caused by multipath reflections. When a signal is transmitted, it can traverse various different paths to arrive at the receiver. The signal traveling over a line of sight (LOS) path is the first to arrive. Other signals may be reflected one or more times prior to arriving at the receiver and therefore, because the reflective path is longer than the LOS path, the reflected signals arrive after the LOS signal.
- LOS line of sight
- a forward filter e.g. a linear feedforward equalizer (LFE)
- LFE linear feedforward equalizer
- a forward filter can be used to account for the interference caused by the reflected signal as long as the delay between the LOS signal and the reflected signal is less then the span of the LFE.
- LFE linear feedforward equalizer
- a forward filter may not be able to account for the interference caused by the strong delayed reflection. In other words, the window in which the forward filter is effective is not wide enough to encompass the reflected signal because of the length of the delay.
- a decision feedback equalizer In prior approaches, to account for strong reflected signals received after a substantial delay, a decision feedback equalizer (DFE) has often been used.
- DFE decision feedback equalizer
- a decision feedback equalizer feeds back decisions regarding the effect of intersymbol interference based on the detected values of a received sequence of bits. As such, a decision feedback equalizer can be used to minimize the interference caused by a reflected signal.
- FIG. 1 illustrates a typical representation of a DFE using shift registers.
- a DFE 100 includes a symbol detector 101 , registers 102 a - 102 n , multipliers 103 a - 103 n , and summer 104 .
- the DFEs are represented as comprising registers and multipliers, it is to be understood that any component (whether hardware, software, or both) capable of performing the functionality described could equally be used.
- the received signal which is generally processed first through a forward filter such as an LFE, is periodically sampled by symbol detector 101 to make a decision as to the value of the symbol at each clock cycle (e.g. the voltage level of a bit).
- a current decision is stored in register 102 a while stored decisions in each register 102 a - 102 n are shifted to the right to the next register. In this manner, a sequence of decisions corresponding to the previously received symbols is stored in registers 102 a - 102 n .
- the decisions also known as cursors
- a multiplier multipliers 103 a - 103 n
- a correction factor known as a tap (tap — 1-tap_n).
- the values of the taps are set so that the multiplied values are appropriate to account for the interference that is likely caused by the decision values on a later symbol.
- Each of the multiplied values is summed together by summer 104 to yield an equalized value.
- the equalized value is then fed back to summer 105 where it is added to the received signal to account for the interference on the received signal.
- this process requires the DFE to store decisions and maintain taps for the period over which the DFE is used to account for interference.
- the DFE is calculating the intersymbol interference caused by a sequence of 10 received bit on another bit, the detected values for each of the 10 bits must be stored to calculate and account for this effect on the other bit.
- the delay of a reflection increases, the number of registers and multipliers required to account for the interference caused by the delayed reflection equally increases. Accordingly, an adequate DFE can often require excessive circuitry or logic for many applications.
- the present invention is directed to a decision feedback equalizer that implements a multipath delay calculator to determine the delay between a line-of-sight component of a received data signal and a reflection of the line-of-sight component.
- the determined delay is used to control when decisions are used within the decision feedback equalizer so that the appropriate decisions are delayed until the reflection is received. In this way, the reflection can be substantially removed from the data signal using decisions that were generated when the line-of-sight component was received. Because the correction window is limited to the time when the reflection is received, the number of taps required to perform equalization is greatly reduced resulting in a decision feedback equalizer with less circuitry or logic.
- FIG. 1 illustrates a typical representation of a DFE using shift registers
- FIG. 2 illustrates an example of a DFE that includes a multipath delay calculator in accordance with one or more embodiments of the invention
- FIG. 3 illustrates a timeline of a received LOS pulse and a reflection of the LOS pulse
- FIG. 4 illustrates an example of multiple reflected signals that can be accounted for using multipath delay calculator
- FIG. 5 illustrates a correction window of a traditional DFE
- FIG. 6 illustrates components of an exemplary multipath delay calculator
- FIG. 7 illustrates an example of applying decisions to correct a later received symbol
- FIG. 8 illustrates the direct loading of decisions into registers of a DFE
- FIG. 9 illustrates an exemplary DFE that employs a delay prior to applying equalized values back to the data signal.
- FIG. 10 illustrates a flowchart of an exemplary method for implementing a multipath delay calculator in a decision feedback equalizer.
- the present invention is directed to a decision feedback equalizer that implements a multipath delay calculator to determine the delay between a line-of-sight component of a received data signal and a reflection of the line-of-sight component.
- the determined delay is used to control when decisions are used within the decision feedback equalizer so that the appropriate decisions are delayed until the reflection is received. In this way, the reflection can be substantially removed from the data signal using decisions that were generated when the line-of-sight component was received. Because the correction window is limited to the time when the reflection is received, the number of taps required to perform equalization is greatly reduced resulting in a decision feedback equalizer with less circuitry or logic.
- directions e.g., above, below, top, bottom, side, up, down, under, over, upper, lower, horizontal, vertical, “x,” “y,” “z,” etc.
- directions are relative and provided solely by way of example and for ease of illustration and discussion and not by way of limitation.
- elements e.g., elements a, b, c
- such reference is intended to include any one of the listed elements by itself, any combination of less than all of the listed elements, and/or a combination of all of the listed elements.
- a decision feedback equalizer can include a multipath delay calculator to determine the delay between a LOS signal and one or more reflected signals. By calculating this delay, less circuitry or logic can be required to account for the effects of interference caused by a reflected signal.
- FIG. 2 illustrates an example of a DFE 200 that includes a multipath delay calculator 206 in accordance with one or more embodiments of the invention.
- Delay calculator 206 is used to determine the delay between the LOS signal and a reflected signal. Once the delay is detected (i.e. once the reflected signal is detected), this delay is applied within the DFE by delay component 208 to limit the duration of time during which equalization is performed on the received signal thus minimizing the amount of circuitry or logic needed. In other words, the window of the signal over which the DFE is applied is shifted and reduced as illustrated in FIG. 3 .
- FIG. 3 provides a timeline of a received LOS pulse 301 and a reflection 302 of the LOS pulse.
- the LOS pulse is received at time t LOS while the reflection is received at time t REFL .
- FIGS. 3-5 represents the LOS and reflection signals as pulses rather than continuous signals. In practice, however, the LOS and reflection signals are continuous streams of data. As such, the reflection signal is received at the same time as a later transmitted portion of the LOS signal which results in the interference. A DFE estimates this interference and attempts to remove it from the LOS signal.
- FIG. 3 also illustrates a correction window for each of two DFEs.
- Each correction window represents the duration of time (or the number of symbols) that are sampled to generate an equalized value to correct a bit in the received signal.
- Correction window 301 is representative of a typical DFE such as DFE 100 of FIG. 1
- correction window 302 is representative of a DFE employing a multipath delay calculator such as DFE 200 in FIG. 2 .
- correction window 311 As shown, because a typical DFE does not know when the reflection will occur, in order to account for a reflection, it is required to maintain correction window 311 from the time when the LOS signal is received (t LOS ) until the strong reflected signal is received (t REFL ). For each symbol in the received signal within correction window 311 , DFE 100 requires a register 102 and a multiplier 103 . As the potential difference between t LOS and t REFL increases, correction window 301 must also be widened thus requiring a greater number of registers and multipliers.
- a DFE having at least 100 registers would be required to account for the intersymbol interference caused by the reflection.
- Multipath delay calculator 206 can be used to detect when the reflected signal is received and commence correction window 302 at that time via delay control signals 207 . In other words, multipath delay calculator 206 identifies t REFL and applies equalization beginning at that time so that correction window 302 is minimized around the portion of the received signal when the reflected signal is also received.
- Multipath delay calculator 206 can be used in this manner because, generally speaking, during a substantial portion of the time between t LOS and t REFL , the reflection does not cause significant interference to the received signal. Stated another way, because of the large delay in the reflection, its effect is not felt until sometime after the LOS signal is received. Multipath delay calculator 206 is used to determine the time at which the reflection will cause interference, and to then apply appropriate corrections to the received signal at that time to minimize the interference.
- multipath delay calculator 206 allows a narrower correction window to be used because the window is being targeted at the particular location in the received signal where equalization is most needed.
- the DFE is used to generate equalized values similar to how a typical DFE generates equalized values (i.e. by multiplying taps with decisions and summing the multiplied values to produce an equalized value), but the time at which the equalized values are applied back to the received signal is controlled by multipath delay calculator 206 to minimize the required window.
- multipath delay calculator 206 can also be used to determine multiple windows. Multiple windows may be useful in situations where multiple reflections are present but are spaced in time sufficiently so that a single window does not span all reflections. Multiple windows can also be overlapped to better address interference caused by multiple reflections.
- FIG. 4 illustrates an example of multiple reflected signals that can be accounted for using multipath delay calculator 206 .
- multipath delay calculator 206 can be used to calculate three separate correction windows corresponding to three reflections received at time t REFL1 , t REFL2 , and t REFL3 respectively.
- a single window would need to be of sufficient width to span all three reflections. Accordingly, by identifying three separate windows, the circuitry or logic required to implement the DFE can be further reduced.
- FIG. 5 illustrates a correction window 510 of a traditional DFE. As shown, correction window 510 does not commence until after t REFL1 when the first reflection is received.
- Multipath delay calculator can be used to detect such reflections and can provide a correction window to account for the interference caused by the reflections. As shown in FIG. 5 , a correction window 501 can be maintained that spans this gap. In this manner, the reflection at t REFL1 can be accounted for using a DFE.
- FIG. 6 illustrates multipath delay calculator 206 in further detail.
- multipath delay calculator 206 can include a sequence detector component 601 and delay calculator component 602 . Two separate components are shown for clarity, however, it is to be understood that the invention is not limited to any particular component configuration, and that the functionality performed by multipath delay calculator 206 can be implemented in hardware, software, or any combination of hardware and software.
- symbol detector 201 samples the received signal (after it has been demodulated) and identifies a symbol (or bit) value of the received signal at each clock cycle.
- Sequence detector component 601 receives the detected symbols from symbol detector 201 .
- Sequence detector component 601 monitors the received sequence of symbols to identify a known pattern.
- the known pattern can be any pattern known by the receiver to exist in the transmitted signal.
- the known pattern can comprise the forward error correction (FEC) sequence used in the transmitted signal.
- FEC forward error correction
- Sequence detector component 601 uses the known sequence to identify when the LOS signal and any reflections are received. Because the LOS and reflection signals carry the same data (i.e. they are copies of each other), each will also carry the known sequence. Sequence detector component 601 identifies when the LOS signal is received by identifying the known sequence. Sequence detector component 601 then continues to monitor the received signal until it identifies the known sequence again thus indicating that a reflection has been received. As indicated above, multiple strong reflections may be received, and therefore, the known sequence may be identified more than two times.
- sequence detector component 601 When sequence detector component 601 identifies a known sequence in a reflection, it can identify the delay between the LOS signal and the reflection. Once this delay is known, delay calculator component 602 can generate delay control signals 207 to control when equalized values are output from the DFE and applied back to the received signal.
- Delay control signals 207 cause a delay in the generation of equalized values. For example, as shown in FIG. 2 , delay control signals 207 control a delay, ⁇ , that is applied to the decisions that are input into the sequence of registers 203 a - 203 n . Accordingly, an equalized value is generated from decisions on symbols that were received at some interval, ⁇ , prior to the symbol to which the equalized value is applied as shown in FIG. 7 .
- FIG. 7 illustrates a received signal s(t) at time n.
- the received signal at time n corresponds with a transmitted signal having a sequence of values of 1001111010.
- Time n represents the time when the LOS signal is detected (or t LOS as shown in FIG. 3-5 ).
- Sequence detector component 601 detects the known sequence and notify delay calculator component 602 .
- Delay component 208 receives decisions from symbol detector 201 and stores the decisions. Unlike a traditional DFE which would immediately pass the decisions through to generate an equalized value, a DFE according to the present invention retains the decisions until the known sequence is again detected indicating that a reflection has been received. At that point, the decisions (corresponding to the time at which the known signal was original received in the LOS signal) are used to output an equalized value that is applied to the received signal at the time that the reflection is received. In essence, this approach is used to remove the reflection from the received signal.
- delay calculator 206 and delay component 208 are used to delay the time at which equalized values are applied to the received signal. In spite of this delay, the number of decisions being used to generate an equalized value remains the same, and therefore, no additional taps are required to account for the long delay. Specifically, it is still required that delay component 208 store (e.g. in a register) each decision value until it is used, but the number of taps required is reduced because only a portion of the stored decision values are used to generate an equalized value. In this sense, delay component 208 can be viewed as a series of registers for storing decisions that receives delay control signals 207 to control when the decisions are shifted out into registers 202 a - 202 n . The number of registers 202 a - 202 n can remain fixed regardless of the delay between the LOS and reflected signals.
- delay calculator component 602 calculates appropriate delay control signals 207 to ensure that the appropriate eight decisions (as well as taps) are present in registers 203 a - 203 n at the appropriate time so that an equalized value can be generated from the eight decisions and applied to the received signal at n ⁇ . These decisions are shifted through registers 203 a - 203 n appropriately so that the appropriate eight decisions are applied to the received signal at the appropriate time.
- the delay, ⁇ is fixed.
- the present invention extends to embodiments where the delay between the LOS signal and the reflection varies. Because the delay can vary, the correction window may need to be adjusted. However, if the window is moved, the decisions in registers 203 a - 203 n will no longer match. For example, if the reflection in FIG. 7 were instead received at time n+ ⁇ +3, the same decisions (n through n+7) would need to be applied to the signal at time n+ ⁇ +3 rather than at time n+ ⁇ . Because of this, moving the correction window usually results in the receiver losing its lock on the signal until the correct values can be shifted through registers 203 a - 203 n so that the appropriate equalized value is generated.
- the present invention can be used to adjust the position of the correction window without having to discard all decisions from registers 203 a - 203 n .
- FIG. 8 illustrates how this can be performed.
- registers 203 a - 203 n initially contain decisions dec_a-dec_h.
- the correction window should be adjusted such that the appropriate decisions should be dec_h-dec_o.
- the present invention can immediately load the appropriate decisions. For example, as shown, dec_h is immediately transferred from register 203 n to register 203 a while dec_i-dec_o are immediately loaded into the remaining registers. This is possible because dec_i-dec_o (as well as possibly many others) can be stored in delay component 208 .
- a shift in the correction window can be performed at various times such as when the reflection is being received near an edge of the window. For example, if the reflection is initially being received at a time that is at the middle of the correction window, but slowly begins to be received sooner (e.g. moves to the left in FIGS. 3-5 ), the DFE can be configured to detect when the reflection has moved past some threshold in the window and cause the window to be adjusted as described above.
- the present invention can provide multiple windows. This can be accomplished by using multiple sets of decisions to generate multiple equalized values. This can be accomplished by implementing two separate sets of registers for supplying the decisions for multiplication with the taps. Of course, in embodiments where windows overlap, the decisions common to each window could be provided by a single register. Each window can be individually shifted as described above.
- the value of the taps can be adjusted to account for overlapping reflections. For example, when two or more reflections are received within a sufficiently close span, the interference on the received signal at a particular time can be a result of the sum of each of the two or more reflections. The combined effect of the two or more reflections can be accounted for by setting appropriate tap values rather than employing multiple windows.
- a window can be positioned to cover the gap as is shown in FIG. 5 with window 501 . This can be accomplished by sampling the received signal to generate the appropriate equalized values, but then delaying the received signal prior to applying the equalized values to the received signal as shown in FIG. 9 . Even using this approach, other windows can be used at any location such as shown in FIG. 5 . Delay calculator component 602 can be used to generate the appropriate delay to position each window in the correct location.
- FIG. 10 illustrates a flowchart of an exemplary method 1000 for implementing a multipath delay calculator in a decision feedback equalizer. Method 1000 will be described with reference to FIGS. 2 and 3 .
- Method 1000 includes an act 1001 of receiving a data signal.
- symbol detector 201 can receive a data signal.
- Method 1000 includes an act 1002 of generating decisions by sequentially detecting the value of symbols in the received data signal.
- symbol detector 201 can sample the received data signal and generate decisions for each symbol in the data signal.
- Method 1000 includes an act 1003 of identifying a known pattern in the received data signal at a first time when a line-of-sight (LOS) component of the data signal is received, and at a second time when a reflection of the LOS component is received.
- delay calculator 206 can identify a known sequence in the data signal at time t LOS when the LOS signal is received and again at time t REFL when the reflection is received.
- Method 1000 includes an act 1004 of calculating a delay between the LOS component and the reflection based on the difference between the first and the second time.
- delay calculator 206 can calculate the difference between t LOS and t REFL .
- Method 1000 includes an act 1005 of storing the decisions such that the use of the decisions in calculating equalized values is delayed based on the delay calculated by the delay calculator.
- delay component 208 can store decisions received from symbol detector 201 and delay output of the decisions to register 202 a based on delay control signals 207 provided by delay calculator 206 .
- Method 1000 includes an act 1006 of sequentially receiving the decisions and generating equalized values to be applied back to the received data signal, the equalized values being generated to substantially remove the reflection from the received data signal.
- decisions can be input sequentially to registers 202 a - 202 n and multipliers 203 a to produce products that are summed by summer 204 to generate the equalized values to be fed back to the received signal to substantially remove the interference caused by the reflection.
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